What is the Greatest Common Factor of 62762 and 62776?

Greatest common factor (GCF) of 62762 and 62776 is 14.

GCF(62762,62776) = 14

We will now calculate the prime factors of 62762 and 62776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62762 and 62776.

How to find the GCF of 62762 and 62776?

We will first find the prime factorization of 62762 and 62776. After we will calculate the factors of 62762 and 62776 and find the biggest common factor number .

Step-1: Prime Factorization of 62762

Prime factors of 62762 are 2, 7, 4483. Prime factorization of 62762 in exponential form is:

62762 = 2¹ × 7¹ × 4483¹

Step-2: Prime Factorization of 62776

Prime factors of 62776 are 2, 7, 19, 59. Prime factorization of 62776 in exponential form is:

62776 = 2³ × 7¹ × 19¹ × 59¹

Step-3: Factors of 62762

List of positive integer factors of 62762 that divides 62762 without a remainder.

1, 2, 7, 14, 4483, 8966, 31381

Step-4: Factors of 62776

List of positive integer factors of 62776 that divides 62762 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 59, 76, 118, 133, 152, 236, 266, 413, 472, 532, 826, 1064, 1121, 1652, 2242, 3304, 4484, 7847, 8968, 15694, 31388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62762 and 62776. The biggest common factor number is the GCF number.
So the greatest common factor 62762 and 62776 is 14.

Also check out the Least Common Multiple of 62762 and 62776